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Marrrta [24]
3 years ago
12

[ 1 ] check whether -3 and 3 are the zeroes of the polynomial x² - 9.

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

<h3>#1</h3>
  • x² - 9 = 0
  • x² = 9
  • x = ± √9
  • x = ± 3

Yes, -3 and 3 are zeroes of this polynomial

<h3>#2</h3>

<em>See attached graphs</em>

Zero's of a polynomial are the intersection of the graph with the x-axis.

They include coordinates as (x, 0), so the x-coordinates are zero's.

The attached shows the zero's.

<h3>#3</h3>

<em>See attached graphs</em>

Zero's of each polynomial are reflected in the graphs.

  • () y = x² - x - 6 has zeros x = -2 and x = 3
  • (ii) y = 6 - x - x² has zero's x = -3, x = 2

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Answer:

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Step-by-step explanation:

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3 years ago
A student wants to determine the coefficients of static friction and kinetic friction between a box and a plank. She places the
Arturiano [62]

Answer:

the coefficients of static friction is 0.577

the coefficients of fkinetic friction is 0.54

Step-by-step explanation:

given information

θ = 30°

S = 2.5 m

t = 4 s

- Static friction

F - F(friction) = 0

W sin θ = μs W cos θ  

μs = sin θ/ cosθ

   = tan θ

   = tan 30°

   = 0.577

- kinetic friction

S = v_{0} t + \frac{1}{2} at^{2}

v_{0} t = 0

S = \frac{1}{2} at^{2}

a = \frac{2S}{T^{2} } = \frac{2 x 2.5}{4^{2} }

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F - F(friction) = m a

W sin θ - μ W cos θ  = m a

mg sin θ - μk mg cos θ  = m a

g sin θ - μk g cos θ  = a

μk = g sin θ  - a / g cos θ

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7 0
4 years ago
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ra1l [238]

Answer:

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3 years ago
The sum of two number is 25 if thrice the smaller number is subracted from twice the larger number,the subtraction is also 25 fi
Mnenie [13.5K]

Answer:

The numbers are 5 and 20 respectively.

Step-by-step explanation:

Let two numbers are x and y.

According to question-

x + y = 25...............................(i)

Given x is smaller number and y is larger number.

then,

2 y - 3 x = 25..........................(ii)

To solve equation (i) and (ii)-

Firstly multiply by 3 in equation (i) and then add in equation (ii)-

<em>  3 x + 3 y = 75</em>

<em><u>- 3 x  + 2 y = 25</u></em>

<em><u>5 y = 100</u></em>

<em>y = 20</em>

Put y = 100 in equation (i)-

We get,

<em>x = 25 - 20</em>

<em>x = 5</em>

<em>Therefore x = 5 and y = 20 .</em>

8 0
3 years ago
Read 2 more answers
The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the
Oxana [17]

Answer:

Part a) The area of the actual floor is 576\ ft^{2}

Part b) The ratio of the area in the drawing to the actual area is \frac{1}{9}\frac{cm^{2}}{ft^{2}}

Step-by-step explanation:

we know that

The scale drawing is \frac{1}{3}\frac{cm}{ft}

step 1

Find the dimensions of the square on a scale drawing

The area of a square is equal to

A=b^{2}

where

b is the length side of the square

A=64\ cm^{2}

so

64=b^{2}

b=8\ cm

step 2

Find the dimensions of the actual floor

Divide the length of the floor on the drawing by the scale drawing

8/(1/3)=24\ ft

step 3

Find the area of the actual floor

The area of a square is equal to

A=b^{2}

substitute

A=24^{2}=576\ ft^{2}

step 4

Find the ratio of the area in the drawing to the actual area

\frac{64}{576}\frac{cm^{2}}{ft^{2}}

Simplify

Divide by 64 both numerator and denominator

\frac{1}{9}\frac{cm^{2}}{ft^{2}}

3 0
3 years ago
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